Solve |x-8| 1=11 - ScanMath

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Type your math problem... |x-8| 1=11

x

Question

Solve the equation

x_{1} = - 3, x_{2} = 19

Evaluate

∣ x - 8 ∣ \times 1 = 11

Any expression multiplied by 1 remains the same

∣ x - 8 ∣ = 11

Separate the equation into 2 possible cases

x - 8 = 11 x - 8 = - 11

Solve the equation for x

More Steps

Evaluate

x - 8 = 11

Move the constant to the right-hand side and change its sign

x = 11 + 8

Add the numbers

x = 19

x = 19 x - 8 = - 11

Solve the equation for x

More Steps

Evaluate

x - 8 = - 11

Move the constant to the right-hand side and change its sign

x = - 11 + 8

Add the numbers

x = - 3

x = 19 x = - 3

Solution

x_{1} = - 3, x_{2} = 19

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